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Finding the Fourth Proportional to 45,096.46, 62,258.16 and 27,196

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Solution

The fourth proportional to 45,096.46, 62,258.16 and 27,196 is: 37,545.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,096.46 : 62,258.16 = 27,196 : x
  2. Step 2: Convert to fraction form
    45,096.46/62,258.16 = 27,196/x
  3. Step 3: Cross multiply
    45,096.46x = 62,258.16 × 27,196
  4. Step 4: Simplify right side
    45,096.46x = 1,693,172,919.36
  5. Step 5: Solve for x
    x = 1,693,172,919.36/45,096.46
  6. Step 6: Final answer
    x = 37,545.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.